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Finding the Fourth Proportional to 1,739.36, 2,606.72 and 871.76

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Solution

The fourth proportional to 1,739.36, 2,606.72 and 871.76 is: 1,306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.36 : 2,606.72 = 871.76 : x
  2. Step 2: Convert to fraction form
    1,739.36/2,606.72 = 871.76/x
  3. Step 3: Cross multiply
    1,739.36x = 2,606.72 × 871.76
  4. Step 4: Simplify right side
    1,739.36x = 2,272,434.23
  5. Step 5: Solve for x
    x = 2,272,434.23/1,739.36
  6. Step 6: Final answer
    x = 1,306.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.